CUBO, A Mathematical Journal, Volume (47), No (1), Year (2012-6) , Pages (111-117)

Title : ( More on Approximate operators )

Authors: Philip Maher , Mohammad Sal Moslehian ,

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Abstract

We investigate approximate partial isometries and approximate generalized inverses. We also prove that if T is an invertible contraction satisfying displaystyle{ | T T^{*} T - T | < epsilon < {2 over 3 sqrt{3}}}. Then there exists a partial isometry V such that |T - V | < K epsilon for K > 0 .

Keywords

, Hilbert space; approximation; unitary; partial isometry; polar decomposition; (p, epsilon) -approximate operator
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@article{paperid:1022942,
author = {Philip Maher and Sal Moslehian, Mohammad},
title = {More on Approximate operators},
journal = {CUBO, A Mathematical Journal},
year = {2012},
volume = {47},
number = {1},
month = {June},
issn = {0716-7776},
pages = {111--117},
numpages = {6},
keywords = {Hilbert space; approximation; unitary; partial isometry; polar decomposition; (p; epsilon) -approximate operator},
}

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%0 Journal Article
%T More on Approximate operators
%A Philip Maher
%A Sal Moslehian, Mohammad
%J CUBO, A Mathematical Journal
%@ 0716-7776
%D 2012

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